for Algebra I - Moore Public Schools / Overvie Games for Algebra I Grid Games is an assortment of...

transcript

for Algebra I

www.gridgamesgalore.com

Grid Games For Algebra I

Melisa Rice

www.gridgamesgalore.com A publication of GridGamesGalore

18087 County Road 1560, Ada, OK 74820

Grid Games for Algebra I Grid Games is an assortment of fun activities covering 9 different concepts – including equations, linear expressions, polynomials, quadratics and square roots. Students work problems, while trying to get 3-in-a-row to win the game. Each activity is run off on card stock. The only other items necessary to play the games are bingo chips, a number die and a letter die.

Contact: www.gridgamesgalore.com gridgames@wildrice.com

TABLE OF CONTENTS

Rules for playing Grid GamesSuggestions

I. SIMPLIFYING EXPRESSIONSAbsolute Value

Given an absolute value expression, simplifyInteger +-

Solve each integer expression involving addition and subtractionInteger */

Solve each integer expression involving multiplication and divisionSubstitution

Solve each expression involving substitutionII. EQUATIONS

One-step EquationsSolve each one step equation

Two-step EquationsSolve each two step equation

Multi-step EquationsSolve each multi-step equation

Literal EquationsSolve each equation involving numerous variables for one variable X

III. INEQUALITIESInequalities

Identify each inequality graphed on a number lineInequalities 2

Solve each inequalityIV. LINEAR FUNCTIONS

FunctionsEvaluate each function using an equation, table or graph

SlopeGiven a graph, find slope

Slope 2AGiven a line in slope-intercept form, find slope

IV. LINEAR FUNCTIONS (continued)Slope 2B

Given a line in standard form, find slopeFinding m & b

Given a line in slope-intercept form, find slope and y-interceptSlope 3

Given a set of points, find slopeFinding Lines 1

Given slope and y-intercept, find the equation of the line in slope-intercept formFinding Lines 2

Given the graph of a line, find the equation of the line in slope-intercept formFinding Lines 3

Given slope and one point, find the equation of the line in slope-intercept formFinding Lines 4

Given two points or a table of values, find the equation of the line in slope-intercept formIntercepts

Find the x-intercept and y-intercept for each equation in standard formStandard form

Rewrite each linear equation in standard formV. POLYNOMIALS

Polynomial +-Simplify polynomial expressions involving addition and subtraction

Multiplying BinomialsFind the product of each pair of binomials given.

Factoring PolynomialsFactor each polynomial using difference of squares or trinomial factoring

VI. QUADRATIC FORMULA AND FUNCTIONSQuadratic Formula

Given a quadratic equation, use the Quadratic Formula to set up each.Quadratic Functions

Identify each quadratic function graphedQuadratic Functions2

Identify the vertex of each quadratic functionVII. SQUARE ROOTS

Square RootsSimplify each square root expression

VIII. TRANSFORMATIONSLinear Parent graphs

Describe how each graph listed differs from the parent graph y = xAbsolute Value Parent graphs

Describe how the graph stated differs from the parent graph y = |x|Absolute Value Parent graphs 2

Identify each absolute value function graphedIX. TRANSLATIONS

Words to ExpressionsTranslate each phrase to an expression or equation

1. Divide the class into groups of no more than 3 students - two students will play the game and one student is the answerperson. Then have the students place their desks so the two players are facing each other and the answer person is sitting to the side.

2. Each group is then given the following:Game sheet Bingo chips in two colorsanswer key 2 dice - one number die and the other with the letters A, B, C, D, E and F

3. Place the game sheet between the two players. The answer person receives the answer key.

4. Each player then rolls the number die. High roll is Player 1, who begins the game.

5. Player 1 rolls both dice and finds the corresponding location on the grid. For example, Player 1 rolls C5. He moves right to C and down 5.

6. Player 1 then proceeds to answer the question in the corresponding grid. If he answers the question correctly, he places a bingo chip on the square. If he does not answer the question correctly, Player 2 may answer the question and cover the square.

7. Player 2 then rolls the dice and answers the question. As above, if Player 2 answers the question correctly, he covers it with a bingo chip. If he misses it, Player 1 may answer the question.

8. Player 1 then rolls the dice. Play continues until one player has 3 chips in a row, either horizontally, vertically, or diagonally.

9. If a player rolls the dice and the square has already been covered, the player will roll again.

10. The winner then trades places with the answer person and the game begins again.

11. If only two people must be in a group, then Player 2 checks the answer when Player 1 attempts to answer the question correctly. But Player 2 may not answer the question if Player 1 answers it incorrectly. Play continues if Player 1 answers it incorrectly. Play continues with Player 2 until someone wins.

RULES TO PLAY "GRID GAMES"

1. Run off all game sheets and answer sheets on color cardstock. This is much sturdier than regular color paper.

2. Run similar concepts off using different colors of card stock.

3. Use two or three different concepts during the activity day. Alternate game sheets with different groups during the class period.

4. Use the game sheets as review worksheets. Students answer the questions directly on the game sheet.

5. To make the game last longer, students must get 4 in a row to win.

Give each student a die. They roll and first one to answer the question on that square gets to cover the square.

Use as a game of strategy with no dice. The students choose their square based on their opponent's play.

Use sheet protectors and markers instead of chips. The students initial their squares when they answer thequestion correctly.

If two play, write answers on index cards (example - C3). The players play as with three people, but once the answerhas been given, they turn over the corresponding card and check their answer.

SUGGESTIONS

ALTERNATIVE IDEAS

GridGames

A B C D E F

1 |3x-2|+5, when x = 6 3|9-38| -2|51-74| |16-21|-41 12-|x+10|

when x =-2|8-3x|

when x =-5

2 -2|11-28| 5+|x-14| when x =-8

8-|14-3x| when x =-5

11+|x+6| when x=-5 -|5-19|+4 -|51-39|

3 |5-2x|-5, when x=3 -2|2-27| 5+|4-6x|

when x=5|13-x|+4

when x =-4

4 -2|-14-21| 7-|4x+9| when x =-1 |32-(-23)| 12-|x-4|

when x = 8|9-3x|-6,

when x = 4 |-14-37|

5 12-|x-11| when x = 8

|2x+3|+1 when x = 6

3-|x-4| when x = 9 -3|-7+(-18)|

6 -|10-21|-8 |5+2x|+11 when x =-4

12-|x-11| when x = 8 |-8-12|-17 |12-x|-4

when x =-7

Absolute ValueSimplify each expression below:

− + −12

12 34( )

− −12

− − +13

49 31−

8 63−

A B C D E F

1 8+(-12) 14-(9-17) 8-11-(-21) 12+(-22) -17-23 4-3-(8-15)

2 -6-14 -11-5-(-14) -(5-8-14) -19+3+5-17 -18+(-6) -7+(-6+3)

3 7+(-14)+(-11) 5-11 8-(-21) 4-(-11)-10 15+(-12) 2-25

4 18-13 -14+21-(-11) 31-28-11 -11+(-14) (-8)-(-31) -31+27

5 4+5+(-17) 21+(-14) -8+8-6 5-31 2-17 8-5-11

6 5-(-14-2)+3 -(15-19)+20 31-9-11 5-21+4 14-(-18+21) -(5-8-11)

Integer+-Find each sum or difference:

A B C D E F

1 6•-4 2(-3)(-2) (-7)(-1)(-4)

2 -4(7)(-1)(-3) -5•4÷(-10) (-2)³ 8(-6x)

3 (-3)(-2)(1)(-1) -8•-5 (-5)(3)(1)

4 -21÷-7 (4)(-2)( -1) ((-1)²)²

5 -3(-2)(-1)(0) (3x)(-7y) -12•2÷3 -3(-9y)

6 -16÷-4 (-3)²

Integer •÷Find each product or quotient

( )( )12

8x y− − •( ) ( )12 12

( )( )−13

153−

− +6 153

a 14 217

x y+ −( ) −883

−−155

x−− −

9 1( )( )10 255

x y−−

8 124− x −

416 2( )( )

10 2( )( )− − + −−

10 6 82

x y z −93

A B C D E F

1 adb 4d-3a c(b+e) 5e a+b

2 -9g ea+5c -3a 6f 4a-6g

3 6f+a -5b+7d cef -4b (e-d)²

4 2c c-d agc f-g 5f

5 (5+b)a -2bf 8de 4f+3d 6gf 9g

6 (a+b)(c-d) 8f-9d -10f fg ba

Substitutiona = 3 b = -2 c = 5 d = -1

e = 4 f = 1/2 g = -2/3

c d−

7c aed−

cb ea+−

A B C D E F

1 k+11=-21 0=t+(-1.4) -11=a+8 14+c=-5 p+12=-4 -12+b=12

2 h+(-13)=-5 7=16-k -14-a=-21 18+m=-57 y+2.3=1.5 h-26=-29

3 16-y=37 k-13=21 m-(-13)=37 t-(-16)=9 y-13=-27 -27-b=-7

4 4r=-28 -5s=-85 3w=-11 5c=8 5x=-45 9x=40

5 434=-31y 17b=-391 -3y=-52 k/8=6 h/11=-25 11=x/5

6 -10=b/-7 c/-8=-14 t=72 y=-50 x=-25 x=36

One Step EquationsSolve each equation below:

−4 12

A B C D E F

1 3x-7=2 8+3x=5 5z+16=51 14n-8=34

2 4t-7=5 6=4n+2

3 4+7x=39 34=8-2t -3x-7=18 .2n+3=8.6

5 5x+3=23 4=3a-14 19=3y-5 8-5w=-37

6 42=18-4v

Two-Step EquationsSolve each equation below:

16 1214

7 8x− =

13+ =m

6 45+ =−

4 10p− =

−− =−

− =−

+ =−5

d+=−

− = +12 6 23

3 9y− =

5+=−

8 2− =−

10b+−

= −n

A B C D E F

1 3x-7=5x-11 5+2(3x-7)=15 9-2x=7x+32 0.4+0.3(2x-8)=0.8x

2 .5-.3y = .7y-3.5 29=4x+3(7-2x) .2x-.5=.3x+1.5 5x-4(9x-17)=3x

3 -8(3x+7)=16-15x 8x-(5+3x)=10 4-7x=7x+15 9x+59=2+4(5-7x)

4 ½(4-12x)=3x-16 -11-(3+7x)=-49 8+3x=3x+8 9-(4x+7)=11-4x

5 2-8x=¼(12+8x) 5x+2(3x-11)=44 9x+14=4x+37 5(2-3x)-7x=11x+9

6 -¾(12+28x)=12 -3(5-4x)+11=-64 4x+11=7x-19 -(5-4x)-3x=8x+9

Multi-Step EquationsSolve each equation below:

4 113x

5 144 3x

19−+

−−

x − =+−

7 2x 213

1 5 19 3

4 112x 1

x +−

− =x x

x x+ = −

x x− =− +

x x− =− −

+ =− −x x

− = +x x

A B C D E F

1 3x-2y=9 x-3y=4y 2x-5y=8 3x+2y=7 y-4x=8 3y+2x=6+2y

2 4xy=3z 2x+7=5y x-y-z =12 8+4x=16z x²-y=8

3 x-4y=8 x+y=3 x-y=4 x-y=-2 x+y=-1 x+2y=6

4 3x+5=7y-4x

5 x-y=5x 2x+y=-6 x-4y=-4x 3x-7y=21 3x+5y=-15 2x-6y=-6

6 G=4x²y 3xy-5z=6 M=3xy² -6y+2x=-5

LITERAL EQUATIONSSolve each equation below for X:

2+ = x y z3

2+ = 32

6x z=x

A B C D E F

InequalitiesIdentify each inequality graph below:

A B C D E F

1 434>-31x 17x>-391 -3x>-52 5x+16>51 14x-8>34 2x+4<-12

2 -10<x/-7 x/-8<-14 x<72 12<-4x 4x-7<5 6<4x+2

3 4+7x≤39 34≤8-2x -3x-7≤18 .2x+3≤8.6 13<-5+3x 9≥4x-7

4 x+(-13)≥-5 7≥16-x -14-x≥-21 18+x≥-57 x+2.3≥1.5 x-26≥-29

5 5x+3≥23 4<3x-14 19<3x-5 8-5x>-37 8x≥65-5x -13≥7-5x

6 16-x≥37 x-13<21 x-(-13)<37 x-(-16)>9 x-13≤-27 -27-x≤-7

Inequalities2Identify each inequality below:

A B C D E F

1 f(1) g(x)=2, x= ?? h(-2) f(4) g(x)=3,

x=?? f(3)

2 g(4) h(-4) g(-2) f(2) h(x)=-3, x=?? h(-3)

3 g(x)=-1, x=?? f(-1) h(0) g(x)=0,

x=?? f(-3) f(-6)

4 g(3) f(1/2) h(x)=-2, x=?? h(3) g(x)=4,

x=?? g(-1)

5 h(1) g(7) f(0) h(x)=3, x=?? h(4) h(2)

6 h(x)=2, x=??

g(x)=8, x=?? g(0) h(-1) f(-2) f(5)

Functions f(x)= 4-3x-x²Evaluate each function using the given equation, table, or graph:

A B C D E F

SLOPE 1 Find the slope for each graph below:

A B C D E F

1 y = 3x - 4 y = x y = 3/2x + 3 y = -4 y = -6 - 3/4x y = 1/2 x + 4

2 y = 5/2x + 6 x = -1 y = -3/4x +5 y = 2 + 2x y = -2x + 3 y = 7x + 2

3 y = -3/2x y = 4x y = x - 5 y = 4 - 4/3x y = 2/3x - 4 y = 3

4 y = 2x + 8 y = 3x y = -1/2x - 1 y = 3 - 2/5x y = -1/3x + 4 y = 3 - x

5 y = 5 - 2x y = -2/3x + 4 y = -7 - 3x y = 7x - 4 y = -3x +1 y = 3/4x - 1

6 y = -x +3 y = 3/2x - 8 y = -4 - 5/3x x = 2 y = 5 - 1/2x y = 1/3x + 2

SLOPE 2A Find the slope for each equation below:

A B C D E F

1 2x-3y=6 2x-2y=5 4x-2y=-12 2x+2y=-1 x=-4 x-3y=6

2 x-4y=8 4x-7y=14 6x-3y=-6 3x-2y=12 x+2y=-8 x-2y=5

3 3x+4y=12 x+y=4 y=4 2x-2y=-1 4x+2y=8 2x+3y=-6

4 2x+y=4 x+2y=-2 3x+3y=6 5x+3y=9 y=1 4x-3y=6

5 x-5y=-5 x+y=2 x-5y=1 2x+3y=6 5x-3y=15 x-4y=-8

6 x=2 5x-2y=10 x-y=-3 4x-5y=20 3x-4y=-12 3x+6y=12

SLOPE 2BGiven each line in standard form, find slope:

A B C D E F

1 y = 3x - 4 y = x y = 3/2x + 3 y = -4 y = -6 - 3/4x y = 1/2 x + 4

2 y = 5/2x + 6 x = -1 y = -3/4x +5 y = 2 + 2x y = -2x + 3 y = 7x + 2

3 y = -3/2x y = 4x y = x - 5 y = 4 - 4/3x y = 2/3x - 4 y = 3

4 y = 2x + 8 y = 3x y = -1/2x - 1 y = 3 - 2/5x y = -1/3x + 4 y = 3 - x

5 y = 5 - 2x y = -2/3x + 4 y = -7 - 3x y = 7x - 4 y = -3x +1 y = 3/4x - 1

6 y = -x +3 y = 3/2x - 8 y = -4 - 5/3x x = 2 y = 5 - 1/2x y = 1/3x + 2

Finding m & bFind slope and y-intercept of each equation below:

A B C D E F

1 (3,2) (2,4)

(1,5) (-1,2)

(0,-4) (2,-2)

(2,5) (5,2)

2 (-3,-3) (-2,4)

(-3,-3) (0,-2)

(0,0) (-2,5)

(4,-3) (3,-4)

3 (4,2) (4,-1)

(3,-1) (0,3)

(3,0) (5,-1)

(-1,-1) (3,2)

4 (4,-2) (3,0)

(0,2) (2,-2)

(3,-1) (1,-2)

(0,3) (2,0)

5 (3,2) (2,3)

(-1,-2) (-2,1)

(3,0) (1,5)

(-2,3) (3,3)

6 (-1,-1) (2,-2)

(0,0) (5,3)

(8,-1) (4,-4)

(-4,-2) (2,4)

SLOPE 3Find the slope for each set of points or table below:

A B C D E F

1 m = 3 b = -4

m = 1 b = 0

m = 3/2 b = 3

m = 0 b = -4

m = -3/4 b = -6

m = 1/2 b = 4

2 m = 5/2 b = 6

undefined slope and point (3, 2)

m = -3/4 b = 5

m = 2 b = 2

m = -2 b = 3

m = 7 b = 2

3 m = -3/2 b = 0

m = 4 b = 0

m = 1 b = -5

m = -4/3 b = 4

m = 2/3 b = -4

m = 0 b = 3

4 m = 2 b = 8

m = 3 b = 0

m = -1/2 b = -1

m = -2/5 b = 3

m = -1/3 b = 4

m = -1 b = 3

5 m = -2 b = 5

m = -2/3 b = 4

m = -3 b = -7

m = 7 b = 4

m = -3 b = 1

m = 3/4 b = -1

6 m = -1 b = 3

m = 3/2 b = -8

m = -5/3 b = -4

undefined slope and

point (-1,-4)

m = -1/2 b = 5

m = 1/3 b = 2

Finding Lines 1Given slope and y-intercept, find the line:

A B C D E F

Finding Lines 2 Identify the equation of each line below:

A B C D E F

1 slope = 2, (3,1)

slope = -1/3, (-6,1)

slope = 3/4, (4,0)

slope = -2, (1,1)

slope = 3, (0,-6)

slope = 1/2, (-2,-2)

2 slope = 1, (1,4)

slope = 2/3, (3,3)

slope = -1/2, (-4,4)

slope = 2, (-4,-3)

slope = 3/4, (-4,1)

slope = 4/3, (-6,-2)

3 slope = 1/2, (-2,3)

slope = 1, (-2,4)

slope = -1, (2,-3)

slope = -1, (-5,3)

undefined slope, (-3,-1)

slope = 2/3, (3,4)

4 slope = 0, (3,4)

slope = 3/2, (-2,5)

slope = -1/4, (0,-3)

slope = 1/2, (4,0)

slope = -3/2, (2,5)

slope = -4, (0,-3)

5 slope = -2, (-2,3)

slope = -3, (0,4)

slope = -3, (-1,-1)

slope = -1/3, (3,4)

slope = 1, (0,-2)

slope = -2, (-3,6)

6 slope = -1, (-3,-1)

undefined slope, (2,5)

slope = 0, (3,-4)

slope = 3/2, (4,-4)

slope = -2, (4,-3)

slope = 1, (-1,-3)

Finding Lines 3Given slope and a point, find the equation of the line in slope-intercept form:

A B C D E F

1 (3,2) (2,4)

(2,5) (0,2)

(0,-4) (2,-2)

(2,5) (5,2)

2 (-3,-3) (-2,4)

(-3,-3) (0,-2)

(0,0) (-2,5)

(4,-3) (3,-4)

3 (4,2) (4,-1)

(3,-1) (0,3)

(4,0) (6,-1)

(-2,-1) (2,3)

4 (4,-2) (3,0)

(0,2) (2,-2)

(4,-1) (2,-2)

(0,3) (2,0)

5 (3,2) (2,3)

(-1,-2) (-2,1)

(4,0) (2,5)

(-2,3) (3,3)

6 (0,-1) (3,-2)

(0,0) (5,3)

(8,-1) (4,-4)

(-4,-2) (2,4)

Finding lines 4Find the equation of the line for each set of points or table below:

A B C D E F

1 3x+2y=6 4x-2y=8 x-3y=6 2x+y=4 3x-4y=12 2x-3y=12

2 x-4y=8 x+y=3 x-y=4 x-y=-2 x+y=-1 x+2y=6

3 2x-y=2 3x+y=3 x-2y=-2 x-3y=-3 2x+y=-6 x+2y=-8

4 x-y=5 2x+y=-6 x-4y=-4 3x-7y=21 3x+5y=-15 2x-6y=-6

5 x+2y=3 2x+y=5 x+2y=-3 x-2y=-5 2x-2y=5 3x+2y=4

6 3x-2y=9 x-3y=4 2x-5y=8 3x+2y=7 y-4x=8 3y+2x=6

InterceptsFind the x-intercept and y-intercept of each:

A B C D E F

1 y = x-3 y = -2x-1 y = 1/3x y = -1/3x+1 y = 2x y = -3x+1

2 y = -2 y = 3x y = 3/2x+3 y = 1/3x+ 4 y = x+1 y = x + 2

3 y = -2x-3 y = -2x+2 y = 3x+ 1 y = -x-3 x = 3 y = 1/2x-1

4 y = 2x-4 y = -1/2x+1 y = 2/3x y = -x+1 y = -3x-4 y = 3x-3

5 y = -2/3x-1 y = 1/3x-1 y = 2x-1 y = 3/2x-4 y = -1/3x-2 y = 5

6 y = -1/2x+ 4 y = -x+2 x = -4 y = -3/2x-4 y = 1/2x-4 y = -1/3x-1

Standard FormRewrite each linear equation in standard form:

A B C D E F

1 2x-3x+4x-7 4x-5x-(-8x) 9x-5+(3x+7) (4-2x)+(3x+7) (4x-4)-(8-3x) (9x-5)-(3x+7)

2 5x-7-11x+2 4+7x-3-7x (5x+3)+(2x-9) -(3x-2)+(5x-1) (x-4)-(4-x) (4x-11)-(-5-3x)

3 3x²-6x²+3x-8 5x²+3x-7x²-2 (4x²-4x)+(6x-5x²) (x²+8x-2)+(3x-7) (4x²-3x)-(x²+5) (5-2x²)-(3x²-4x+5)

4 4+3x-2x²-3x+8x² 7x²+4x²-(-11x²)-9 (5x²-3x-8)+(4x²-x+9) (6-3x-2x²)-(4x²-2) (5x-4x²)-(3x²+5x-2) (5x²-3x-8)-(4x²-x+9)

5 3x³-4x²-3x+6 5x³-3x²+5x²-(-x³) (4x³-3x+2)+(4x²-3x-7) -3x-7x³-(3x³+2x²-3) (6-3x³)-(4x³+3x²+8) (4x³-3x+2)-(4x²-3x-7)

6 3x³-5x²+8x²-2x³ 7-9x+4x³+7x+2x²-x³ (x³-x²+4x+7)+4x²-2x-5 4x²-3x+2-(7x³+4x²-1) (3x²-4x-1)-(5x³-7) (x³-x²+7)-(4x²-2x-5)

Poly Add-SubtractSimplify each polynomial expression:

A B C D E F

1 (x+7)(x-7) (x-8)(x-2) (2x+1)(x+5) (3x+1)(x+1) (x+10y)(x-3y) (6x+7y)(6x-7y)

2 (3x+4)(x-3) (x+3)(x+1) (x+6)(x-6) (x-8)(x-3) (2x+5)(x+1) (4x+1)(x+1)

3 (2x-5)(2x+5) (x-8)(x+2) (2x+3)(x+2) (x-9)(x+2) (3x-7)² (x-7)(x-4)

4 (x+6y)(x+2y) (3x+2)(x-6) (x+3)(x-9) (x-8)(x+3) (2x-3)(x-3) (3x-2)(2x+3)

5 (x+2)(x+1) (x+7)(x-2) (x+6y)(x-2y) (3x-1)(x+12) (10x-1)(10x+1) (x-4)(x+3)

6 (3x+2y)(x-y) (5x+2)(x+1) (x+5)(x+1) (x+9)(x-3) (2x+1)² (5x+4y)(5x-4y)

Multiplying BinomialsFind the product of each binomial below:

A B C D E F

1 x² - 49 x² - 10x + 16 2x² + 11x + 5 3x² + 4x + 1 x² + 7xy - 30y² 36x² - 49y²

2 3x² - 5x - 12 x² + 4x + 3 x² - 36 x² - 11x + 24 2x² + 7x + 5 4x² + 5x + 1

3 4x² - 25 x² - 6x - 16 2x² + 7x +6 x² - 7x - 18 x² + 16 x² - 11x + 28

4 x² + 8xy + 12y² 3x² - 16x - 12 9x² + 100 x² - 5x - 24 2x² - 9x + 9 27y² - 25

5 x² + 3x + 2 x² + 5x - 14 x² +4xy -12y² 3x² + 35x - 12 100x² - 1 x² - x - 12

6 3x² - xy - 2y² 5x² + 7x + 2 x² + 6x + 5 x² + 6x - 27 4x² + 4x - 1 25x² - 16y²

Factoring PolynomialsFind the factors of each:

A B C D E F

1 x²-3x+4=0 2x²+3x+1=0 x²+5x=1 4x²-21x=0 x²+4x+7=0 4x²+11=-2x

2 3x²+6x-1=0 x²+3x+7=0 3x²-5x=1 x²+3x+7=0 x²-15=0 3x²+7x+8=0

3 x²-2x-8=0 4x²-3x+1=0 x²-4x=-1 2x²+4x-8=0 x²+2x-4=0 5x²=-3x

4 x²+14x=0 x²+3x-10=0 2x²-2x-3=0 x²+2x-5=0 4x²-5x=2 x²-5x+6=0

5 2x²+5x+4=0 3x²+15=0 x²-8x=-1 x²-5x=-4 x²-6=-3x x²-7x+5=0

6 3x²+5x+2=0 x²-7x-6=0 2x²-16=0 x²+6x+8=0 4x²-7=5x x²-4x-2=0

Quadratic Formula Set up using the Quadratic Formula:

A B C D E F

Quadratic FunctionsIdentify each quadratic function graphed below:

A B C D E F

1 y=(x)²+2 y=(x-5)²-1 y=(x-2)² y=(x+2)²+4 y=x² y=(x+2)²+3

2 y=(x-4)²-3 y=(x+3)²-1 y=(x-2)²+3 y=(x+1)²+5 y=(x+1)² y=(x+6)²+2

3 y=(x)²+3 y=x² y=x²-4 y=(x+4)²-3 y=(x+3)²+1 y=(x+2)²-3

4 y=(x+2)² y=(x-4)²+3 y=(x+1)² y=(x-3)²+1 y=(x)²+4 y=(x)²-2

5 y=(x-2)²-4 y=(x-6)²-2 y=(x+2)²-4 y=(x+6)²-2 y=(x)²-3 y=(x-6)²+2

6 y=(x-1)²+5 y=(x-2)² y=(x-2)²-3 y=(x-1)² y=(x-3)²+3 y=(x+5)²-1

Quadratic Functions2Given each quadratic function, identify the vertex:

A B C D E F

Square RootsSimplify each expression below:

− 64

− 75

− 80 2 27

−3 48

2 3 4 3+

12 7 7−

11 5 2 7−

6 5 8 5−

3 5•20 4 5+ − −8 2 8

3 2 84

−3 63− +3 3 5 3

3 3 63 6 7 6+ − 169

4 2 2 6( )

A B C D E F

1 y=x+4 y=3/4x-2 y=2x+6 y=1/2x y=4x-5 y=x-2

2 y=2x-3 y=3/2x y=x-3 y=1/4x+7 y=3x y=8/3x

3 y=x+3 y=7/2x y=3/5x-4 y=1/3x+2 y=1/9x-5 y=1/4x+1

4 y=1/3x y=x+2 y=1/5x+4 y=5x+2 y=3/5x-4 y=2/3x

5 y=2x y=4/3x-3 y=4x y=x-1 y=5/3x y=4x-7

6 y=2x-1 y=x-4 y=3/5x y=5/7x-2 y=5/2x-3 y=x+1

Linear Parent Graphs Describe how the graph stated differs from

the parent graph y = x.

A B C D E F

1 y=|x|-1 y=-|x+1|-2 y=|x-1| y=|x+2|-4 y=|x|+4 y=-|x+3|-4

2 y=|x-1|-1 y=|x+1| y=-|x|-5 y=-|x+1|-1 y=|x-4|-3 y=|x+3|

3 y=-|x|+3 y=|x|-2 y=|x+5|-1 y=|x-5|+5 y=|x-3| y=-|x+5|-1

4 y=|x-4| y=-|x-5|-2 y=|x|-3 y=|x|+2 y=-|x+3|-5 y=|x+3|+2

5 y=|x-2|+4 y=|x|+1 y=|x-5|+2 y=|x+2|-1 y=-|x+2| y=|x+2|-2

6 y=-|x|-4 y=|x-3|+5 y=-|x-3|+1 y=|x+4| y=|x-4|+3 y=|x-2|

Absolute Value Parent Graphs Describe how the graph stated differs

from the parent graph y = |x|

A B C D E F

Absolute Value Parent Graphs 2 Identify each absolute value function

graphed below:

A B C D E F

1 8 more than half a number twice a number

8 is the same as one-third a number

four less than a number-cubed

twice the sum of 14 and a number

12 increased by a number is 6.

2twice the difference of a number and 8

is equal to 2

the quotient of 14 and a number,

added to 3

five less than a number

the sum of four and three times a

number is equal to the number

half a numberthe product of a

number and 12 is the same as 48

3two less than half a number

three times a number increased

the difference of 14 and a number

3 less than the square root of a

number

the square root of the difference of 18 and twice a

number

20 subtracted by half a number

48 less than a number is the

same as four times the number

four times a number, added to

a number decreased by 9 is the same as 11.

five times a number,

subtracted from 15 is 30

three times the difference of a number and 9

six less than twice a number

5 five times the sum of a number and 2

the product of 9 and a number is equal to 2 more than the number

15 minus a number-squared

one less than four times a number

is 11.

the square of the sum of a number

and 15

four more than three times a

number

6twice the sum of

four times a number and 3

three times the difference of 12 and

a number is 11

8 decreased by a number-cubed

9 divided by four times a number

four times the difference of twice a number and 8

a number-cubed

Words to ExpressionsTranslate each phrase to an expression or equation.

ANSWERS

Absolute Value answer sheet

−=−

-10-40

-28-24

-26-15

-10-40

-28-24

-26-15

Integer+- Answ

er Sheet

Integer+- Answ

er Sheet

5x-3y+4z-28

3 -2x+5y

4 -2+5a

32x-3y

-21xy-8

5x-3y+4z-28

3 -2x+5y

4 -2+5a

32x-3y

-21xy-8

Integer •÷ answ

er sheet

Integer •÷ answ

er sheet

Substitution answer sheet

1.4-19

-19-16

-75-.8

17-11/3

-2352/3

48-275

112162

1.4-19

-19-16

-75-.8

17-11/3

-2352/3

48-275

112162

One Step E

quations answer sheet

One Step E

quations answer sheet

-13-25/3

-153136

-32-38

-13-25/3

-153136

-32-38

Two-Step Equations answer sheet

-23/9-10

-11/14-1

all real solutions

no solution2/7

5 -1/10

23/51/33

-23/9-10

-11/14-1

all real solutions

no solution2/7

5 -1/10

23/51/33

Multi-Step Equations answ

er sheet

Multi-Step Equations answ

er sheet

2x=12+y+z

x=4z-2

3x=4y+8

x=3-yx=y+4

x=y-2x=-y-1

x=6-2y

4x=3(y-2) or x=3y-6

x=3(2z-y) or x=6z-3y

x=4zx=6yz-2

x=6yz+5

5x=3y-3

2x=12+y+z

x=4z-2

3x=4y+8

x=3-yx=y+4

x=y-2x=-y-1

x=6-2y

4x=3(y-2) or x=3y-6

x=3(2z-y) or x=6z-3y

x=4zx=6yz-2

x=6yz+5

5x=3y-3

=−− 84

Literal Equations answer sheet

1x≤-5 or x≥-3

x>20<x<4

x≥-3-3≤x<2

x≤2 or x≥3

2-3≤x≤2

x<0 or x>3x>-3

-4<x<2x>-1

x≤-4 or x>-3

x≤-4 or x≥-11<x≤6

x≤0x≤-1 or x>1

0≤x≤1

-2<x≤2x≤-2 or x≥0

x<-3 or x≥02≤x≤6

5-4<x≤1

x>3x<-2 or x>2

x<-1 or x>3x>0

-1≤x≤4

6x<4 or x>6

4<x<7x≤-1

-3<x<1x≤-2 or x≥1

1x≤-5 or x≥-3

x>20<x<4

x≥-3-3≤x<2

x≤2 or x≥3

2-3≤x≤2

x<0 or x>3x>-3

-4<x<2x>-1

x≤-4 or x>-3

x≤-4 or x≥-11<x≤6

x≤0x≤-1 or x>1

0≤x≤1

-2<x≤2x≤-2 or x≥0

x<-3 or x≥02≤x≤6

5-4<x≤1

x>3x<-2 or x>2

x<-1 or x>3x>0

-1≤x≤4

6x<4 or x>6

4<x<7x≤-1

-3<x<1x≤-2 or x≥1

Inequalities a

nswer sh

Inequalities a

nswer sh

1x>-14

x>-23x<52/3

x>7x>3

x>112x<162

x<-3x<3

3x≤5

x≤-13x≥-25/3

x≤28x>6

4x≥8

x≥9x≤7

x≥-75x≥-.8

x≥-3

5x≥4

x>6x>8

x<9x≥5

6x≤-21

x<34x<24

x>-7x≤-14

x≥-20

1x>-14

x>-23x<52/3

x>7x>3

x>112x<162

x<-3x<3

3x≤5

x≤-13x≥-25/3

x≤28x>6

4x≥8

x≥9x≤7

x≥-75x≥-.8

x≥-3

5x≥4

x>6x>8

x<9x≥5

6x≤-21

x<34x<24

x>-7x≤-14

x≥-20

Inequalities2 answer sheet

Functions answ

er sheet

Functions answ

er sheet

-3/2undefined

-2/3-1

-3/2+1/2

-1+2/3

+1/4-1/2

undefined-2

-1/2-2/3

+3/2+3/4

+1/2-2

+2/3-1/4

-3/2undefined

-2/3-1

-3/2+1/2

-1+2/3

+1/4-1/2

undefined-2

-1/2-2/3

+3/2+3/4

+1/2-2

+2/3-1/4

undefined-3/4

-4/32/3

-2/5-1/3

-2/3-3

3/2-5/3

undefined-1/2

undefined-3/4

-4/32/3

-2/5-1/3

-2/3-3

3/2-5/3

undefined-1/2

SLOPE 2A answer sheet

-1undefined

3/2-1/2

-10 slope

-1/2-1

-5/30 slope

-2/35/3

6undefined

4/53/4

-1undefined

3/2-1/2

-10 slope

-1/2-1

-5/30 slope

-2/35/3

6undefined

4/53/4

SLOPE 2B answer sheet

= 3 b = -4

b = 0m

= 3/2 b = 3

b = -4m

= -3/4 b = -6

m = 1/2

= 5/2 b = 6

undefined slope and no y-int

m = -3/4 b = 5

b = 2m

= -2 b = 3

= -3/2 b = 0

b = 0m

= 1 b = -5

m = -4/3 b = 4

m = 2/3

b = -4m

= 0 b = 3

= 2 b = 8

b = 0m

= -1/2 b = -1

m = -2/5 b = 3

m = -1/3 b = 4

m = -1

= -2 b = 5

m = -2/3 b = 4

m = -3

b = -7m

= 7 b = -4

m = -3

b = 1m

= 3/4 b = -1

= -1 b = 3

m = 3/2

b = -8m

= -5/3 b = -4

m = -1/2 b = 5

m = 1/3

= 3 b = -4

b = 0m

= 3/2 b = 3

b = -4m

= -3/4 b = -6

m = 1/2

= 5/2 b = 6

m = -3/4 b = 5

b = 2m

= -2 b = 3

= -3/2 b = 0

b = 0m

= 1 b = -5

m = -4/3 b = 4

m = 2/3

b = -4m

= 0 b = 3

= 2 b = 8

b = 0m

= -1/2 b = -1

m = -2/5 b = 3

m = -1/3 b = 4

m = -1

= -2 b = 5

m = -2/3 b = 4

m = -3

b = -7m

= 7 b = -4

m = -3

b = 1m

= 3/4 b = -1

= -1 b = 3

m = 3/2

b = -8m

= -5/3 b = -4

m = -1/2 b = 5

m = 1/3

Finding m &

b answer sheet

Finding m &

b answer sheet

+3/2+2/1

+7/1+1/3

3undefined

-4/3-1/2

+3/4+3/1

-2/1undefined

-2/1+4/3

+1/2-3/2

-3/1-2/1

-2/1-5/2

+3/2-1/3

3/53/4

-1/2-1

+3/2+2/1

+7/1+1/3

3undefined

-4/3-1/2

+3/4+3/1

-2/1undefined

-2/1+4/3

+1/2-3/2

-3/1-2/1

-2/1-5/2

+3/2-1/3

3/53/4

-1/2-1

SLOPE 3 answer sheet

1y = 3x - 4

y = xy = 3/2x + 3

y = -4y = -3/4x - 6

y = 1/2 x + 4

2y = 5/2x + 6

x = 3y = -3/4x +5

y = 2x +2y = -2x + 3

y = 7x + 2

3y = -3/2x

y = 4xy = x - 5

y = - 4/3x + 4y = 2/3x - 4

4y = 2x + 8

y = 3xy = -1/2x - 1

y = -2/5x + 3y = -1/3x + 4

y = -x + 3

5y = -2x + 5

y = -2/3x + 4y = -3x - 7

y = 7x + 4y = -3x +1

y = 3/4x - 1

6y = -x +3

y = 3/2x - 8y = -5/3x - 4

x = -1y = -1/2x + 5

y = 1/3x + 2

1y = 3x - 4

y = xy = 3/2x + 3

y = -4y = -3/4x - 6

y = 1/2 x + 4

2y = 5/2x + 6

x = 3y = -3/4x +5

y = 2x +2y = -2x + 3

y = 7x + 2

3y = -3/2x

y = 4xy = x - 5

y = - 4/3x + 4y = 2/3x - 4

4y = 2x + 8

y = 3xy = -1/2x - 1

y = -2/5x + 3y = -1/3x + 4

y = -x + 3

5y = -2x + 5

y = -2/3x + 4y = -3x - 7

y = 7x + 4y = -3x +1

y = 3/4x - 1

6y = -x +3

y = 3/2x - 8y = -5/3x - 4

x = -1y = -1/2x + 5

y = 1/3x + 2

Finding Lines 1 answer sheet

1y = x-3

y = -2x-1y = 1/3x

y = -1/3x+1y = 2x

y = -3x+1

2y = -2

y = 3xy = 3/2x+3

y = 1/3x+ 4y = x+1

y = x + 2

3y = -2x-3

y = -2x+2y = 3x+ 1

y = -x-3x = 3

y = 1/2x-1

4y = 2x-4

y = -1/2x+1y = 2/3x

y = -x+1y = -3x-4

y = 3x-3

5y = -2/3x-1

y = 1/3x-1y = 2x-1

y = 3/2x-4y = -1/3x-2

6y = -1/2x+ 4

y = -x+2x = -4

y = -3/2x-4y = 1/2x-4

y = -1/3x-1

1y = x-3

y = -2x-1y = 1/3x

y = -1/3x+1y = 2x

y = -3x+1

2y = -2

y = 3xy = 3/2x+3

y = 1/3x+ 4y = x+1

y = x + 2

3y = -2x-3

y = -2x+2y = 3x+ 1

y = -x-3x = 3

y = 1/2x-1

4y = 2x-4

y = -1/2x+1y = 2/3x

y = -x+1y = -3x-4

y = 3x-3

5y = -2/3x-1

y = 1/3x-1y = 2x-1

y = 3/2x-4y = -1/3x-2

6y = -1/2x+ 4

y = -x+2x = -4

y = -3/2x-4y = 1/2x-4

y = -1/3x-1

Finding Lines 2 answer sheet

1y = 2x-5

y = -1/3x-1y = 3/4x-3

y = -2x+3y = 3x-6

y = 1/2x-1

2y = x+3

y = 2/3x+1y = -1/2x+2

y = 2x+5y = 3/4x+4

y = 4/3x+6

3y = 1/2x+4

y = x+6y = -x-1

y = -x-2x = -3

y = 2/3x+2

4y = 4

y = 3/2x+8y = -1/4x-3

y = 1/2x-2y = -3/2x+8

y = -4x-3

5y = -2x-1

y = -3x+4y = -3x-4

y = -1/3x+5y = x-2

y = -2x

6y = -x-4

x = 2y = -4

y = 3/2x-10y = -2x+5

y = x-2

1y = 2x-5

y = -1/3x-1y = 3/4x-3

y = -2x+3y = 3x-6

y = 1/2x-1

2y = x+3

y = 2/3x+1y = -1/2x+2

y = 2x+5y = 3/4x+4

y = 4/3x+6

3y = 1/2x+4

y = x+6y = -x-1

y = -x-2x = -3

y = 2/3x+2

4y = 4

y = 3/2x+8y = -1/4x-3

y = 1/2x-2y = -3/2x+8

y = -4x-3

5y = -2x-1

y = -3x+4y = -3x-4

y = -1/3x+5y = x-2

y = -2x

6y = -x-4

x = 2y = -4

y = 3/2x-10y = -2x+5

y = x-2

Finding Lines3 answer sheet

1y=-2x+8

y=-3/2x+2y=2x+2

y=-1/2x+1½y=x-4

y=-x+7

y=-x+3y=7x+18

y=1/3x-2y=-5/2x

y=-4/3x+3y=-1/2x+2

y=x+1y=3x-4

4y=2x+6

x=1y=-2x+2

y=4/3x-4y=1/2x-3

y=-3/2x+3

5y=-x+5

y=-3x-5y=2x+2

y=-2x+5y=-5/2x+10

6y=3/2x-2

y=-1/3x-1y=3/5x

y=3/4x-7y=-1/2x+2

1y=-2x+8

y=-3/2x+2y=2x+2

y=-1/2x+1½y=x-4

y=-x+7

y=-x+3y=7x+18

y=1/3x-2y=-5/2x

y=-4/3x+3y=-1/2x+2

y=x+1y=3x-4

4y=2x+6

x=1y=-2x+2

y=4/3x-4y=1/2x-3

y=-3/2x+3

5y=-x+5

y=-3x-5y=2x+2

y=-2x+5y=-5/2x+10

6y=3/2x-2

y=-1/3x-1y=3/5x

y=3/4x-7y=-1/2x+2

Finding lines 4 answer sheet

1x-int = 2 y-int = 3

x-int = 2 y-int = -4

x-int = 2 y-int = 4

2x-int = 8 y-int = -2

x-int = 3 y-int = 3

x-int = -2 y-int = 2

x-int = -1 y-int = -1

x-int = 6 y-int = 3

3x-int = 1 y-int = -2

x-int = 1 y-int = 3

x-int = -3 y-int = -6

x-int = -8 y-int = -4

4x-int = 5 y-int = -5

x-int = -3 y-int = -6

x-int = -5 y-int = -3

5x-int = 3

y-int = 3/2x-int = 5/2 y-int = 5

x-int = -3 y-int = -3/2

x-int = -5 y-int = 5/2

x-int = 5/2 y-int = -5/2

x-int = 4/3 y-int = 2

6x-int = 3

y-int = -9/2x-int = 4

y-int = -4/3x-int = 4

y-int = -8/5x-int = 7/3 y-int = 7/2

x-int = 3 y-int = 2

1x-int = 2 y-int = 3

x-int = 2 y-int = 4

2x-int = 8 y-int = -2

x-int = 3 y-int = 3

x-int = -1 y-int = -1

x-int = 6 y-int = 3

3x-int = 1 y-int = -2

x-int = 1 y-int = 3

x-int = -3 y-int = -6

x-int = -8 y-int = -4

4x-int = 5 y-int = -5

x-int = -3 y-int = -6

x-int = -5 y-int = -3

5x-int = 3

y-int = 3/2x-int = 5/2 y-int = 5

x-int = -3 y-int = -3/2

x-int = -5 y-int = 5/2

x-int = 5/2 y-int = -5/2

x-int = 4/3 y-int = 2

6x-int = 3

y-int = -9/2x-int = 4

y-int = -4/3x-int = 4

y-int = -8/5x-int = 7/3 y-int = 7/2

x-int = 3 y-int = 2

rcepts a

1x-y=3

2x+y=-1x-3y=0

x+3y=32x-y=0

3x+y=1

3x-y=03x-2y=-6

x-3y=-12x-y=-1

x-y=-2

32x+y=-3

2x+y=23x-y=-1

x+y=-3x=3

x-2y=2

42x-y=4

x+2y=22x-3y=0

x+y=13x+y=-4

3x-y=3

52x+3y=-3

x-3y=32x-y=1

3x-2y=8x+3y=-6

6x+2y=8

x+y=2x=-4

3x+2y=-8x-2y=8

x+3y=-3

1x-y=3

2x+y=-1x-3y=0

x+3y=32x-y=0

3x+y=1

3x-y=03x-2y=-6

x-3y=-12x-y=-1

x-y=-2

32x+y=-3

2x+y=23x-y=-1

x+y=-3x=3

x-2y=2

42x-y=4

x+2y=22x-3y=0

x+y=13x+y=-4

3x-y=3

52x+3y=-3

x-3y=32x-y=1

3x-2y=8x+3y=-6

6x+2y=8

x+y=2x=-4

3x+2y=-8x-2y=8

x+3y=-3

Standard Form answ

er sheet

Standard Form answ

er sheet

7x12x+2

x+117x-12

2 -6x-5

2x+12x-8

3 -3x²+3x-8

-2x²+3x-2 -x²+2x

x²+11x-93x²-3x-5

-5x²+4x

46x²+4

22x²-99x²-4x+1

-6x²-3x+8 -7x²+2

x²-2x-17

53x³-4x²-3x+6

6x³+2x²4x³+4x²-6x-5

-10x³-2x²-3x+3 -7x³-3x²-2

4x³-4x²+9

6x³+3x²

3x³+2x²-2x+7x³+3x²+2x+2

-7x³-3x+3-5x³+3x²-4x+6

x³-5x²+2x+12

7x12x+2

x+117x-12

2 -6x-5

2x+12x-8

3 -3x²+3x-8

-2x²+3x-2 -x²+2x

x²+11x-93x²-3x-5

-5x²+4x

46x²+4

22x²-99x²-4x+1

-6x²-3x+8 -7x²+2

x²-2x-17

53x³-4x²-3x+6

6x³+2x²4x³+4x²-6x-5

-10x³-2x²-3x+3 -7x³-3x²-2

4x³-4x²+9

6x³+3x²

3x³+2x²-2x+7x³+3x²+2x+2

-7x³-3x+3-5x³+3x²-4x+6

x³-5x²+2x+12

Poly Add-Subtract answer sheet

1x²-49

x²-10x+162x²+11x+5

3x²+4x+1x²+7xy-30y²

36x²-49y²

23x²-5x-12

x²+4x+3x²-36

x²-11x+242x²+7x+5

4x²+5x+1

34x²-25

x²-6x-162x²+7x+6

x²-7x-189x²-42x+49

x²-11x+28

4x²+8xy+12y²

3x²-16x-12x²-6x-27

x²-5x-242x²-9x+9

6x² +5x-6

5x²+3x+2

x²+5x-14x²+4xy-12y²

3x²+35x-12100x²-1

x²-x-12

63x²-xy-2y²

5x²+7x+2x²+6x+5

x²+6x-274x²+4x-1

25x²-16y²

1x²-49

x²-10x+162x²+11x+5

3x²+4x+1x²+7xy-30y²

36x²-49y²

23x²-5x-12

x²+4x+3x²-36

x²-11x+242x²+7x+5

4x²+5x+1

34x²-25

x²-6x-162x²+7x+6

x²-7x-189x²-42x+49

x²-11x+28

4x²+8xy+12y²

3x²-16x-12x²-6x-27

x²-5x-242x²-9x+9

6x² +5x-6

5x²+3x+2

x²+5x-14x²+4xy-12y²

3x²+35x-12100x²-1

x²-x-12

63x²-xy-2y²

5x²+7x+2x²+6x+5

x²+6x-274x²+4x-1

25x²-16y²

Multiplying Binomials answer sheet

1(x+7)(x-7)

(x-8)(x-2)(2x+1)(x+5)

(3x+1)(x+1)(x+10y)(x-3y)

(6x+7y)(6x-7y)

2(3x+4)(x-3)

(x+3)(x+1)(x+6)(x-6)

(x-8)(x-3)(2x+5)(x+1)

(4x+1)(x+1)

3(2x-5)(2x+5)

(x-8)(x+2)(2x+3)(x+2)

(x-9)(x+2)prim

e(x-7)(x-4)

4(x+6y)(x+2y)

(3x+2)(x-6)prim

e(x-8)(x+3)

(2x-3)(x-3)prim

5(x+2)(x+1)

(x+7)(x-2)(x+6y)(x-2y)(3x-1)(x+12)

(10x-1)(10x+1)(x-4)(x+3)

6(3x+2y)(x-y)(5x+2)(x+1)

(x+5)(x+1)(x+9)(x-3)

(2x+1)(2x+1)(5x+4y)(5x-4y)

1(x+7)(x-7)

(x-8)(x-2)(2x+1)(x+5)

(3x+1)(x+1)(x+10y)(x-3y)

(6x+7y)(6x-7y)

2(3x+4)(x-3)

(x+3)(x+1)(x+6)(x-6)

(x-8)(x-3)(2x+5)(x+1)

(4x+1)(x+1)

3(2x-5)(2x+5)

(x-8)(x+2)(2x+3)(x+2)

(x-9)(x+2)prim

e(x-7)(x-4)

4(x+6y)(x+2y)

(3x+2)(x-6)prim

e(x-8)(x+3)

(2x-3)(x-3)prim

5(x+2)(x+1)

(x+7)(x-2)(x+6y)(x-2y)(3x-1)(x+12)

(10x-1)(10x+1)(x-4)(x+3)

6(3x+2y)(x-y)(5x+2)(x+1)

(x+5)(x+1)(x+9)(x-3)

(2x+1)(2x+1)(5x+4y)(5x-4y)

Factoring Polynom

ials answer sheet

Factoring Polynom

ials answer sheet

123456

−−

bgbgbg

−−

bgbgbg

021 2bgbg bg

422 2bgbgbg

223 2bgbgbg

−bgbg bg

122 2bg

bgbgbg

721 2bg

−bgbgbg

−−

bgbgbg

−−

bgbgbg

−−

bgbgbg

−bgbgbg

−−

bgbgbg

−bgbgbg

−−

−bgbgbg

721 2bg

−−

bgbgbg

−−

bgbgbg

−bgbgbg

821 2bgbgbg

721 2bgbgbg

−−

bgbgbg

−−

bgbgbg

−−

bgbgbg

−−

bgbgbg

823 2bgbgbg

025 2bg

−bgbgbg

−bgbg bg

−−

bgbgbg

−bgbgbg

−−

bgbgbg

−−

bgbgbg

021 2bgbg bg

422 2bgbgbg

223 2bgbgbg

−bgbg bg

122 2bg

bgbgbg

721 2bg

−bgbgbg

−−

bgbgbg

−−

bgbgbg

−−

bgbgbg

−bgbgbg

−−

bgbgbg

−bgbgbg

−−

−bgbgbg

721 2bg

−−

bgbgbg

−−

bgbgbg

−bgbgbg

821 2bgbgbg

721 2bgbgbg

−−

bgbgbg

−−

bgbgbg

−−

bgbgbg

−−

bgbgbg

823 2bgbgbg

025 2bg

−bgbgbg

−bgbg bg

−−

bgbgbg

−bgbgbg

Quadratic Formula answ

er sheet

Quadratic Formula answ

er sheet

1y=-(x)²+2

y=(x-5)²-1y=(x-2)²

y=-(x+2)²+4y=-x²

y=(x+2)²+3

2y=(x-4)²-3

y=-(x+3)²-1y=(x-2)²+3

y=(x+1)²+5y=(x+1)²

y=-(x+6)²+2

3y=(x)²+3

y=x²y=x²-4

y=(x+4)²-3y=(x+3)²+1

y=-(x+2)²-3

4y=(x+2)²

y=-(x-4)²+3y=-(x+1)²

y=(x-3)²+1y=-(x)²+4

y=(x)²-2

5y=(x-2)²-4

y=(x-6)²-2y=(x+2)²-4

y=(x+6)²-2y=-(x)²-3

y=-(x-6)²+2

6y=(x-1)²+5

y=-(x-2)²y=-(x-2)²-3

y=(x-1)²y=(x-3)²+3

y=(x+5)²-1

1y=-(x)²+2

y=(x-5)²-1y=(x-2)²

y=-(x+2)²+4y=-x²

y=(x+2)²+3

2y=(x-4)²-3

y=-(x+3)²-1y=(x-2)²+3

y=(x+1)²+5y=(x+1)²

y=-(x+6)²+2

3y=(x)²+3

y=x²y=x²-4

y=(x+4)²-3y=(x+3)²+1

y=-(x+2)²-3

4y=(x+2)²

y=-(x-4)²+3y=-(x+1)²

y=(x-3)²+1y=-(x)²+4

y=(x)²-2

5y=(x-2)²-4

y=(x-6)²-2y=(x+2)²-4

y=(x+6)²-2y=-(x)²-3

y=-(x-6)²+2

6y=(x-1)²+5

y=-(x-2)²y=-(x-2)²-3

y=(x-1)²y=(x-3)²+3

y=(x+5)²-1

Quadratic F

unctions answer sheet

Quadratic F

unctions answer sheet

1(0,2)

(5,-1)(2,0)

(-2,4)(0,0)

(-2,3)

2(4,-3)

(-3,-1)(2,3)

(-1,5)(-1,0)

(-6,2)

3(0,3)

(0,0)(0,-4)

(-4,-3)(-3,1)

(-2,-3)

4(-2,0)

(4,3)(-1,0)

(3,1)(0,4)

(0,-2)

5(2,-4)

(6,-2)(-2,-4)

(-6,-2)(0,-3)

6(1,5)

(2,0)(2,-3)

(1,0)(3,3)

(-5,-1)

1(0,2)

(5,-1)(2,0)

(-2,4)(0,0)

(-2,3)

2(4,-3)

(-3,-1)(2,3)

(-1,5)(-1,0)

(-6,2)

3(0,3)

(0,0)(0,-4)

(-4,-3)(-3,1)

(-2,-3)

4(-2,0)

(4,3)(-1,0)

(3,1)(0,4)

(0,-2)

5(2,-4)

(6,-2)(-2,-4)

(-6,-2)(0,-3)

6(1,5)

(2,0)(2,-3)

(1,0)(3,3)

(-5,-1)

Quadratic Functions2 answer sheet

Square Roots answ

er sheet

Square Roots answ

er sheet

−123

15−6

−123

15−6

flatter dow

n 2steeper

up 6flatter

steeper dow

n 5dow

2steeper dow

n 3steeper

down 3

flatter up 7

steeper steeper

steeper flatter

down 4

flatter up 2

flatter dow

n 5flatter up 1

4flatter

up 2flatter up 4

steeper up 2

flatter dow

n 4flatter

5steeper

steeper dow

n 3steeper

down 1

steeper steeper dow

6steeper dow

n 1dow

n 4flatter

flatter dow

n 2steeper dow

n 3up 1

flatter dow

n 2steeper

up 6flatter

steeper dow

n 5dow

2steeper dow

n 3steeper

down 3

flatter up 7

steeper steeper

steeper flatter

down 4

flatter up 2

flatter dow

n 5flatter up 1

4flatter

up 2flatter up 4

steeper up 2

flatter dow

n 4flatter

5steeper

steeper dow

n 3steeper

down 1

steeper steeper dow

6steeper dow

n 1dow

n 4flatter

flatter dow

n 2steeper dow

n 3up 1

Linear Parent Graphs Answer

n 1left 1 dow

n 2 opens dow

nright 1

left 2 dow

n 4up 4

left 3 down 4

opens down

2right 1 dow

n 1left 1

down 5

opens down

left 1 down 1

opens down

right 4 dow

n 3left 3

opens down

down 2

left 5 dow

n 1right 5 up 5

right 3left 5 dow

n 1 opens dow

4right 4

right 5 dow

n 2 o pens dow

n 3up 2

left 3 down 5

opens down

left 3 up 2

5right 2 up 4

up 1right 5 up 2

left 2 dow

n 1left 2

opens down

left 2 dow

n 4 opens dow

nright 3 up 5

right 3 up 1 opens dow

nleft 4

right 4 up 3

right 2

n 1left 1 dow

n 2 opens dow

nright 1

left 2 dow

n 4up 4

left 3 down 4

opens down

2right 1 dow

n 1left 1

down 5

opens down

left 1 down 1

opens down

right 4 dow

n 3left 3

opens down

down 2

left 5 dow

n 1right 5 up 5

right 3left 5 dow

n 1 opens dow

4right 4

right 5 dow

n 2 o pens dow

n 3up 2

left 3 down 5

opens down

left 3 up 2

5right 2 up 4

up 1right 5 up 2

left 2 dow

n 1left 2

opens down

left 2 dow

n 4 opens dow

nright 3 up 5

right 3 up 1 opens dow

nleft 4

right 4 up 3

right 2

1y=|x|-1

y=-|x+1|-2y=|x-1|

y=|x+2|-4y=|x|+4

y=-|x+3|-4

2y=|x-1|-1

y=|x+1|y=-|x|-5

y=-|x+1|-1y=|x-4|-3

y=|x+3|

3y=-|x|+3

y=|x|-2y=|x+5|-1

y=|x-5|+5y=|x-3|

y=-|x+5|-1

4y=|x-4|

y=-|x-5|-2y=|x|-3

y=|x|+2y=-|x+3|-5

y=|x+3|+2

5y=|x-2|+4

y=|x|+1y=|x-5|+2

y=|x+2|-1y=-|x+2|

y=|x+2|-2

6y=-|x|-4

y=|x-3|+5y=-|x-3|+1

y=|x+4|y=|x-4|+3

y=|x-2|

1y=|x|-1

y=-|x+1|-2y=|x-1|

y=|x+2|-4y=|x|+4

y=-|x+3|-4

2y=|x-1|-1

y=|x+1|y=-|x|-5

y=-|x+1|-1y=|x-4|-3

y=|x+3|

3y=-|x|+3

y=|x|-2y=|x+5|-1

y=|x-5|+5y=|x-3|

y=-|x+5|-1

4y=|x-4|

y=-|x-5|-2y=|x|-3

y=|x|+2y=-|x+3|-5

y=|x+3|+2

5y=|x-2|+4

y=|x|+1y=|x-5|+2

y=|x+2|-1y=-|x+2|

y=|x+2|-2

6y=-|x|-4

y=|x-3|+5y=-|x-3|+1

y=|x+4|y=|x-4|+3

y=|x-2|

Absolute Value

Parent Graphs 2 answer sheet

Absolute Value

Parent Graphs 2 answer sheet

18 + 1/2x

2x8=1/3x

x³-4=112(14+x)

12+x=6

22(x-8)=2

14/x +3x-5

4+3x=x1/2x

12x=48

31/2x-2=7

3x+714-x=3

20-1/2x

4x-8=4x

4x+3x-9=11

15-5x=303(x-9)

55(x+2)

9x=2+x15-n²=8

4x-1=11(x+15)²

62(4x+3)

3(12-x)=118-x³

9/(4x)4(2x-8)

18 + 1/2x

2x8=1/3x

x³-4=112(14+x)

12+x=6

22(x-8)=2

14/x +3x-5

4+3x=x1/2x

12x=48

31/2x-2=7

3x+714-x=3

20-1/2x

4x-8=4x

4x+3x-9=11

15-5x=303(x-9)

55(x+2)

9x=2+x15-n²=8

4x-1=11(x+15)²

62(4x+3)

3(12-x)=118-x³

9/(4x)4(2x-8)

Words to Expressions answer sheet

About the author: Melisa Rice has been an Oklahoma high school teacher for over 26 years. Throughout her career, she has served on numerous committees at both the local and state level to help improve the teaching of mathematics in Oklahoma. She is a local staff development trainer, and has presented numerous workshops on mathematics teaching at local school districts. She is also a National Board Certified Teacher in Early Adolescent Mathematics, was selected as a teacher of the year finalist for the State of Oklahoma in 2005 and was the 1996 Oklahoma Presidential Award for Excellence in Mathematics winner. She and her husband, Chris, reside in Ada, where Melisa is currently teaching mathematics at Shawnee High School.

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